Title: Singular boundary value problem for fractional q-difference equations with a parameter

Authors: Lulu Zhang; Shurong Sun

Addresses: School of Mathematical Sciences, University of Jinan, Jinan, Shandong, 250022, China ' School of Mathematical Sciences, University of Jinan, Jinan, Shandong, 250022, China

Abstract: In this paper, we study a class of singular boundary value problems for fractional q-difference equations involving Caputo derivatives subject to Sturm-Liouville boundary conditions. By using Krasnoselskii fixed point theorem, the existence of solutions in terms of parameter is considered.

Keywords: fractional q-difference equations; singular; boundary value problem.

DOI: 10.1504/IJDSDE.2022.127814

International Journal of Dynamical Systems and Differential Equations, 2022 Vol.12 No.5, pp.431 - 448

Accepted: 29 Sep 2021
Published online: 19 Dec 2022 *

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